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Finding the Third Proportional to 767,243 and 1,792,035.50

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Solution

The third proportional to 767,243 and 1,792,035.50 is: 4,185,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,243 : 1,792,035.50 = 1,792,035.50 : x
  2. Step 2: Convert to fraction form
    767,243/1,792,035.50 = 1,792,035.50/x
  3. Step 3: Cross multiply
    767,243x = 1,792,035.50 × 1,792,035.50
  4. Step 4: Simplify right side
    767,243x = 3,211,391,233,260.25
  5. Step 5: Solve for x
    x = 3,211,391,233,260.25/767,243
  6. Step 6: Final answer
    x = 4,185,624.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.